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Worksheets

Year 7 - Exam Revision

Total questions: 184

Worksheet time: 8hrs 44mins

Name
Class
Date
1.
Which expression has a value of 13?
a)
5 + 4 × 3 − 1
b)
(5+4)×3−1
c)
5+4×(3−1)
d)
(5+4)×(3−1)
2.
2  +  5  x  ( 11  -  3 ) = 42
a)
True
b)
False
3.
What step would I do second ? (4-2) x 9 + 7 =
a)
multiplication
b)
subtraction
c)
addition
d)
dividing
4.
What would you solve first?
3 x 48 ÷ (15-3)
a)
3 x 48
b)
48 / 15
c)
15 - 3 
d)
48-12
5.
5x(6-3)
a)
19
b)
27
c)
15
d)
23
6.
40 - 24 + 8
a)
40
b)
32
c)
24
d)
42
7.

Solve the following:

-2 ⋅ (3 + 8 ÷ 4)

a)

-16

b)

1.375

c)

10

d)

-10

8.

Solve the following:

-8 + (15 - 3) ÷ 4

a)

-5

b)

1

c)

-11

d)

11

9.

82\frac{-8}{2}   + (-9 * 3)

a)

-31

b)

-23

c)

5

d)

17

10.

(-5)2

a)

-25

b)

25

c)

-10

d)

10

11.

-3 - 42

a)

49

b)

-19

c)

1

d)

-11

12.

1 + 52(3)\frac{-1\ +\ -5}{2\left(-3\right)}  

a)

4/5

b)

0

c)

-1

d)

1

13.
Solve the following:
-2 x (3 + 8 ÷ 4)2
a)
-16
b)
1.375
c)
4
d)
-50
14.
Solve the following:  
-8 + (15-3) ÷ 4
a)
-5
b)
1
c)
-11
d)
11
15.
Solve the following:
(2 + 7 - 1) ÷ 22
a)
16
b)
2
c)
72.25
d)
8.75
16.
True or False?
2 + (4 x 5 - 2) + 8 = 28
a)
True
b)
False
17.
What would be the 2nd step in solving this problem: 
(4 - 2) + 9 x 7
a)
multiplication
b)
subtraction
c)
addition
d)
dividing
18.

Convert the fraction into a decimal: 2/5

a)

.25

b)

.40

c)

2.5

d)

5.2

19.

Choose the decimal equivalent to 725\frac{7}{25}  .

a)

0.28

b)

0.2

c)

3.57

d)

0.357...

20.

Convert  725\frac{7}{25} to a decimal number.

a)

5.8

b)

8.5

c)

0.625

d)

0.652

21.

Use division to convert 326\frac{3}{26}  to a decimal, correct to three decimal places.

a)

0.11...

b)

0.12

c)

0.115

d)

0.115...

22.

Convert the decimal into a percent: 0.46

a)

46%

b)

46/100

c)

46

23.
78 is what percent of 450?
a)
5%
b)
.17
c)
17%
d)
18%
24.
What is 30% of 50?
a)
16
b)
16.3
c)
17.4
d)
15
25.
Sarah earns $20 a day working after school. She spent 30% of her daily earnings on Monday. How much money did she spend on Monday?
a)
$1.40
b)
$6
c)
$0.60
d)
$14
26.
Which is bigger:
25% of 200 
OR
20 % of 250
a)
25% of 200
b)
20% of 250
c)
They are the same
27.

3 out of 25 can be converted to what percentage?

a)

6%

b)

12%

c)

25%

d)

30%

28.

There are 100 apples. 35 are red apples and 65 are green apples. What percentage is green apple?

a)

100%

b)

65%

c)

35%

d)

30%

29.

A mixture contains 8 L of water and 42 L of milk. What is the percentage of water in the mixture?

a)

19.0%

b)

16%

c)

80.1%

d)

Not listed

30.
Which is the best buy?
7 pencils for $1.40
6 pencils for $1.26
a)
7 pencils for $1.40
b)
6 pencils for $1.26
c)
Neither
31.
Sarah wants to buy tomatoes, which is the best deal?
15 kg for $32.25
4 kg for $8.72
a)
15 kg for $32.25
b)
4 kg for $8.72
c)
Neither
32.
Choose the best deal for buying oranges
$52.16 for 8 dozen
$33.77 for 5 dozen
a)
$52.16 for 8 dozen
b)
$33.77 for 5 dozen
c)
Neither
33.
Dayonna bought 8 apples at a cost of $5.20. What is the unit rate?
a)
$6.50
b)
$1.53
c)
$0.65
34.
There are 120 chairs and 30 tables in a classroom. What is the unit rate of chairs to tables?
a)
4:1
b)
120:30
c)
120:1
35.
What is the best deal?
0.5 kg of rice at $1.80
5 kg of rice at $16.95
a)
0.5 kg of rice at $1.80
b)
5 kg of rice at $16.95
36.
What is the best price?
2 liters of milk at $3.80
1.5 liters of milk at $2.70
a)
2 liters of milk for $3.80
b)
1.5 liters of milk at $2.70
c)
Neither
37.
Which is the better buy?
a)
A 4 pack of t-shirts for $2.24
b)
A 6-pack of t-shirts for $3.12
c)
An 8 pack of t-shirts for $4.24
38.
Which is the better buy?
a)
A 4 pack of t-shirts for $2.24
b)
A 6-pack of t-shirts for $3.12
c)
An 8 pack of t-shirts for $4.24
39.
An eight pack of juice boxes costs $4.79, and a 12 pack of juice boxes cost $6.59. Use this information to calculate the better buy.
a)
8 pack
b)
12 pack
40.
-6k + 7k=
a)
k
b)
-k
c)
12k
d)
-12k
41.
-r -10r
a)
11r
b)
-11r
c)
9r
d)
-11
42.
-4W-10W
a)
6W
b)
-6W
c)
-14W
d)
14W
43.
-4W-10W
a)
6W
b)
-6W
c)
-14W
d)
14W
44.

Identify the like terms: 4k + 6t - 45k -2a + 23

a)

there are no like terms

b)

-2a and 6t

c)

4k and -45k only

d)

4k and -45k: 6t and 23

45.

Identify the like terms: 7y + 5r -4r + 2w +r

a)

7y and 2w

b)

5r ,-4r, and r

c)

5r abd r

d)

none

46.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
47.
Simplify by combining like terms:
4x2 - 3x + 11 -2x
a)
4x2 - 5x + 11
b)
11x + 11
c)
16x2 - 5x + 11
d)
10x2
48.
Simplify by combining like terms:
4x2 - 3x + 11 -2x
a)
4x2 - 5x + 11
b)
11x + 11
c)
16x2 - 5x + 11
d)
10x2
49.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
50.

Simplify the expression by combining like-terms:

b+3b+7b+3b+7  

a)

3b2+73b^2+7  

b)

3b+73b+7  

c)

4b+74b+7  

51.

Simplify this expression by combining the like-terms:

2x+74x2x+7-4x  

a)

5x5x  

b)

2x-2x  

c)

2x+7-2x+7  

d)

13x-13x  

52.
Solve for x:
x + 8 = -3
a)
x = -5
b)
x = 5
c)
x = -11
d)
x = 11
53.
Solve for k:
6k = 30
a)
k = 36
b)
k = 24
c)
k = 180
d)
k = 5
54.
What is the first step to solve this equation:
-11 - 3x = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
55.
Solve:
-4x = 24
a)
20
b)
-20
c)
6
d)
-6
56.
Solve:
3x + 7 = -8
a)
5
b)
-5
c)
-12
d)
-18
57.

Each month Mark's phone company charges a flat fee of $12 plus $0.05 per minute. His bill for last month was $18. How many minutes did Mark talk on the phone last month?

a)

120

b)

100

c)

350

d)

600

58.
Sophie has $14 and plans to save $5 each week until she has the $64 she needs for a new jacket.  How many weeks will it take Sophie to save money for a new jacket?
a)
11 weeks
b)
10 weeks
c)
12 weeks
d)
13 weeks
59.

What is the solution of 9 + k = 18

a)

18

b)

9

c)

8

d)

7

60.
Solve the equation:
x + 24 - 9x = -8
a)
x = 1/2
b)
x = -2
c)
x = 2
d)
x = 4
61.
Solve the equation:
2k - 6 + 3k = 14
a)
k = 20
b)
k = 8/5
c)
k = 14/11
d)
k = 4
62.
Solve the equation:
-4 + 5x + 13 = 49
a)
-2
b)
5
c)
7
d)
8
63.
Solve the equation: -7(z - 6) = -70
a)
16
b)
-16
c)
8
d)
-1/2
64.
Solve the equation:
4(x + 3) = 8
a)
-5/4
b)
-1
c)
-5/4
d)
1
65.
Solve the equation:
-4x + 5 = 13
a)
x = -8
b)
x = -2
c)
x = 2
d)
x = 8
66.
Solve the equation:
3(x - 1) = 2x + 9
a)
x = 12
b)
no solution
c)
x = 10
d)
x = 6
67.
Jim paid a gym membership fee of $50, plus $20 per month.  Jim has paid a total of $290 to the gym.  Which equation matches this situation?
a)
50 + 20m = 290
b)
20 + 50m = 290
c)
50 + 20 = m
d)
50m - 20 = 290
68.
Jim paid a gym membership fee of $50, plus $20 per month.  Jim has paid a total of $290 to the gym. How many months has he been a member at the gym?
a)
12
b)
17
c)
64.5
d)
15
69.
331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus? Write an equation that matches this situation.
a)
331=7x+6
b)
331=13x
c)
331=6x+7
d)
331-7=6x
70.
Write an equation to represent this word problem.
a)
40 - 2f = 8
b)
40 + 2f = 8
c)
8 - 2f = 40
d)
40 = 2f - 8
71.
Which of the following is an example of an equation?
a)
8 + 2x - 4
b)
7k - 2 
c)
y + 2 = 10
d)
y + 2
72.

8(4x2+6x)8\left(4x^2+6x\right)  Distribute.

a)

80x280x^2  

b)

32x2+48x32x^2+48x  

c)

32x2+6x32x^2+6x  

73.

10(4m+3)-10\left(4m+3\right)  Distribute.

a)

10m-10m  

b)

40m + 3040m\ +\ 30  

c)

40m 3-40m\ -3  

d)

40m  30-40m\ -\ 30  

74.

(x+2)2=4\frac{\left(x+2\right)}{2}=4  Solve for x

a)

6

b)

0

c)

2

d)

4

75.
Which of the following is the same as
85 cm?
a)
850 m 
b)
8.5 km 
c)
8.5 mm 
d)
850 mm
76.
The perimeter of a rectangle of length 7 cm and width 60 mm is:
a)
26 cm 
b)
42 mm 
c)
42 cm 
d)
270 mm
77.
A square of area 36 m2 has side length:
a)
2 m
b)
6 m
c)
18 m
d)
9 m
78.
Which set of lengths are in ascending order?
a)
4.4 m, 400 cm, 4 km, 40 m
b)
40 m, 400 cm, 4.4 m, 4 km
c)
400 cm, 4.4 m, 40 m, 4 km
d)
4 km, 4.4 m, 400 cm, 40 m
79.
A parallelogram with a base of 12 cm, and a height of 3 cm has an area of:
a)
30 cm
b)
36 cm
c)
3.6 cm
d)
24 cm2
80.
the volume of the rectangular prism is
a)
28cm
b)
104cm2
c)
160cm2
d)
80cm2
81.
5000 millimeters = ____ meters
a)
5
b)
50
c)
500
d)
25
82.
1 L = _______ mL
a)
1
b)
10
c)
100
d)
1000
83.
convert 650 m to km
a)
6.5
b)
0.65
c)
65
d)
0.065
84.
What is the perimeter?
a)
20
b)
40
c)
60
85.
What is the missing measurement? 
a)
9 cm
b)
18 in
c)
18 cm
d)
9 in 
86.
Find the area of the parallelogram.
a)
15.6 cm2
b)
30.6 cm2
c)
13.26 cm2
d)
79.56 cm2
87.
Find the area of this triangle.
a)
20 cm2
b)
35 cm2
c)
40 cm2
d)
17.5 cm2
88.

Find the area of the composite figure.

a)

56 cm sq

b)

41 cm sq

c)

53 cm sq

d)

75 cm sq

89.

If the area of a triangle is 36 square m and the base is 9 m, what is the height of the triangle?

a)

72 metres

b)

4 metres

c)

8 metres

d)

18 metres

90.

If the area of a triangle is 30 square mm and the base is 5 mm, what is the height?

a)

3 mm

b)

6 mm

c)

12 mm

d)

13 mm

91.
What is the circumference?
a)
50.24
b)
96
c)
24
d)
18
92.
What is the circumference?
a)
36
b)
12.56
c)
56.52
d)
113.04
93.
What is the diameter?
a)
8
b)
16
c)
10
d)
4
94.
What is the radius?
a)
18
b)
72
c)
38
d)
14
95.
What is the circumference of a circle with a diameter of 1 inch? Use 3.14 for pi.
a)
3.14 inches
b)
6.28 inches
c)
314 inches
d)
628 inches
96.
A bicycle tire has a diameter of 27 inches. What is the circumference of this tire?
a)
84.78
b)
42.39
c)
27.18
d)
13
97.
Determine the radius of the penny
a)
59.66 mm
b)
9.5 mm
c)
38 mm
d)
119.32 mm
98.
If my diameter is 19 inches, what is my radius?
a)
38 inches
b)
9.5 inches
c)
59.66 inches
d)
119.32 inches
99.
what is the circumference of this circle ?
a)
3.14 cm 
b)
37.68 cm
c)
24 cm
d)
68.4 cm
100.
What is the area of this circle?
a)
163.2
b)
15.3
c)
124.2
d)
113.1
101.
Find the area of the circle
a)
43.96
b)
153.86
c)
87.82
d)
307.72
102.
Find the area of the circle
a)
56.52
b)
254.34
c)
1017.36
d)
113.04
103.
find the area of the circle below.
a)
100 cm
b)
225 cm
c)
9 cm
d)
28.26 cm
104.
a)

410 cm3

b)

420 cm3

c)

402 cm3

d)

401 cm3

105.
Identify this shape.
a)
Triangular Prism
b)
Rectangular Prism
c)
Cube
d)
Triangular Pyramid
106.

What shape is the base? What is the area of the base (B)?

a)

Rectangle; 60in2

b)

Triangle; 12 in2

c)

Rectangle; 32 in2

d)

Triangle; 6 in2

107.

Find the volume of the figure. Round to the nearest tenth.

a)

80 cm³

b)

40 cm²

c)

80 cm2

d)

40 cm³

108.

What is the formula for area of a trapezoid?

a)

1/2(b1+b2)h

b)

(1/2)(b1)h

c)

1/2(b1+b2)h

d)

(b1+b2)h

109.

Angles that lie on the same side of the transversal and in corresponding positions are called...

a)

Linear Pair

b)

Alt. Int. Angles

c)

Corresponding Angles

d)

Alt. Ext. Angles

110.

Find the measure of angle M.

a)

∠M=47°

b)

∠M=133°

c)

∠M=180°

d)

∠M=33°

111.

If  5 and 4\angle5\ and\ \angle4  are one pair of Alternate Interior Angles, name the other pair of Alternate Interior Angles

a)

3 and 2\angle3\ and\ \angle2  

b)

6 and 8\angle6\ and\ \angle8  

c)

3 and 6\angle3\ and\ \angle6  

d)

1 and 9\angle1\ and\ \angle9  

112.

What kind of angles are shown?

a)

Alternate Interior

b)

Alternate Exterior

c)

Same Side Interior

d)

Same Side Exterior

113.

Line l and line m are parallel lines. What is the measure of <J?

a)

∠J=105°

b)

∠J=75°

c)

∠J=15°

d)

∠J=90°

114.

What is the measure of <L?

a)

∠L=51°

b)

∠L=129°

c)

∠L=180°

d)

∠L=39°

115.

What is the measure of <M?

a)

∠M=47°

b)

∠M=133°

c)

∠M=180°

d)

∠M=33°

116.
a)
x = 118
b)
x = 108
c)
x = 28
d)
x = 58
117.
complementary, supplementary, or neither?
a)
Complementary
b)
Supplementary
c)
Neither
118.

Find the measure of angle A.

a)

∠A=82°

b)

∠A=98°

c)

∠A=180°

d)

∠A=8°

119.

What is the value of angle a?

a)

Not enough information

b)

65

c)

Vertically Opposite

d)

115

120.

What is the value of angle a?

a)

130

b)

90

c)

40

d)

50

121.
a)

50

b)

130

c)

140

d)

40

122.

What is the value of angle a?

a)

30

b)

90

c)

25

d)

60

123.

What is the value of a?

a)

90

b)

9.5

c)

60

d)

Not enough information

124.

What is the value of a?

a)

72

b)

60

c)

Not enough information

d)

7.7

125.
a)

45

b)

15

c)

60

d)

30

126.

What is the value of a?

a)

120

b)

180

c)

240

d)

Not enough information

127.

What is the P( not purple) on this spinner?

a)

2/5

b)

1/5

c)

4/5

d)

3/5

128.
Find the probability of rolling a 7 on a single die.
a)
1/6
b)
7/6
c)
0
d)
7/7
129.
What is the probability of spinning green?
a)
0
b)
1/4
c)
1/2
d)
3/4
130.
What is the probability of spinning green or blue?
a)
0
b)
5/12
c)
1/2
d)
3/4
131.
How do you write 0.02 as a percent?
a)
20%
b)
200%
c)
2%
d)
.02%
132.
The letters that form the word ALGEBRA are placed in a bowl. What is the probability of choosing a letter other than “A”? 
a)
2/7
b)
5/49
c)
5/7
d)
10/49
133.
The letters that form the word MATHEMATICS are placed in a bowl. What is the probability of choosing a letter that is a vowel?
a)
8/121
b)
4/11
c)
2/11
d)
4/121
134.
You pick a marble from this bag.
What is the probability you will choose either a black or white marble?
a)
3/5
b)
9/100
c)
1/10
d)
2/5
135.
You roll two die.
What is the probability you will roll a 4, then roll a number less than 3?
a)
1/36
b)
1/18
c)
1/9
d)
1/6
136.

Find the relative frequency of spinning Letter Q.

a)

15/15

b)

3/10

c)

3/50

d)

7/10

137.
You flip a nickel three times.
Find the probability that all flips will land on tails.
a)
1/2
b)
1/4
c)
1/6
d)
1/8
138.

A bag has 3 red marbles, 2 blue and 4 green and 1 yellow. What is the theoretical probability of pulling a red?

a)

3/10

b)

3/9

c)

1/9

d)

1/3

139.

Use the tree diagram to find the probability of tossing a head first and then a tail when a coin is tossed twice.

a)

1

b)

1/2

c)

1/4

d)

1/3

140.
How many total outfit options are represented?
a)
12
b)
22
c)
3
141.
a)
6
b)
12
c)
2
d)
10
142.
Which shows the sample space for flipping two coins?
a)
H, T
b)
HH, HT, TH, TT
c)
HH, TT
d)
Dime, Nickel
143.

How many total did not attend the school play?

a)

63

b)

15

c)

78

d)

221

144.

How many attended the basketball game but did not attend the school play?

a)

63

b)

55

c)

118

d)

88

145.

What percent of people who attended the basketball game also attended the school play?

a)

38%

b)

47%

c)

25%

d)

54%

146.
How many senior boys play football and wrestle?
a)
9
b)
12
c)
18
d)
39
147.
How many senior boys play football but do not wrestle?
a)
9
b)
12
c)
18
d)
104
148.
How many senior boys play football or wrestle?
a)
9
b)
21
c)
30
d)
39
149.

What is the probability that someone plays basketball?

a)

.50

b)

.68

c)

.52

d)

.46

150.
What does the shaded portion of the Venn diagram represent?
a)
Band and Art
b)
Only Art
c)
Band or Art
d)
Neither
151.
3/10  X  2/4
a)
5/14
b)
5/40
c)
6/14
d)
6/40
152.
2/5  X  2/10
a)
4/50
b)
4/15
c)
2/15
d)
2/50
153.

What is 1/8 x 2/5

a)

2/40

b)

1/20

c)

5/16

d)

3 1/2

154.
Solve the following fraction
3/5 x 2/9
a)
2/15
b)
6/45
c)
2 1/2
d)
3/4
155.
1/2 x 3/4 (simplify if needed)
a)
3/8
b)
3/4
c)
4/6
d)
3/2
156.
Simplify: 8/24
a)
1/4
b)
2/5
c)
1/6
d)
1/3
157.
Solve 4/3 ÷ 5/3:
a)
2 2/9
b)
5/4
c)
4/5
d)
5
158.
What is the quotient of these fractions in lowest terms?
a)
6/40
b)
6/10
c)
3/5
d)
12/20
159.
1/4  ÷  2/5
a)
5/8
b)
2/20
c)
1/10
d)
3/9
160.
4/9  ÷  1/2
a)
8/9
b)
5/11
c)
6/10
d)
4/18
161.
Divide. 1/3 ÷ 1/2
a)
2/3
b)
1/6
c)
4/8
d)
1 1/2
162.
Multiply these factions
a)
6 / 30
b)
1 / 1
c)
5 / 30
d)
0
163.
What is 1/3 of 12?
a)
2
b)
3
c)
4
d)
5
164.

Find the total surface area.

a)

10.30cm2

b)

130cm3

c)

144cm2

d)

130cm2

165.
What is surface area?
a)
The measure of the amount of space inside of a solid figure
b)
The sum of all the areas of all the shapes that cover the object
166.
Find the total surface area of the prism.
a)
48 square inches
b)
64 square inches
c)
88 square inches
d)
76 square inches
167.
What 3D solid does this net create?
a)
Triangular Prism
b)
Triangular Pyramid
c)
Rectangular Pyramid
d)
Square Prism
168.
Find the Surface Area
a)
556 cm2
b)
278 cm2
c)
680 cm2
d)
340 cm2
169.

Find the surface area of the cube in square cm.

a)

25

b)

150

c)

125

d)

75

170.

Find the surface area of the triangular prism in square cm.

a)

48

b)

176

c)

200

d)

224

171.

Find the surface area of the square pyramid in square in.

a)

340

b)

240

c)

580

d)

480

172.
Find the Surface Area
a)
556 cm2
b)
278 cm2
c)
680 cm2
d)
340 cm2
173.

What is the collective name given to a full set of hearts, diamonds, clubs, or spades?

a)

Site

b)

Suit

c)

Suite

d)

Sort

174.

How many cards in a single deck? (Not including the joker)

a)

52

b)

50

c)

48

d)

40

175.

How many cards are in a suit of hearts?

a)

9

b)

10

c)

12

d)

13

176.

When a card is drawn from the standard deck of 52 cards, it shows a red ace.

a)

1/26

b)

1/13

c)

3/52

d)

1/4

177.

Marvin has a standard deck of cards.

(52 in a deck, 4 suits)


P (Ace or a 5)

a)

1/13

b)

2/13

c)

1/26

d)

8/50

178.

If a card is drawn from a standard deck of 52 cards, what is the theoretical probability of drawing a heart?

a)

1/4

b)

1/5

c)

1/3

d)

1/2

179.

If a spinner is divided into 8 equal sections numbered from 1 to 8, what is the probability of landing on a multiple of 3?

a)

3/8

b)

2/8

c)

1/8

d)

4/8

180.

Pr(Black Card)

181.

Pr(Hearts or Spades)

182.

Pr(Ace of Spades) [As a fraction]

183.

Pr(Even Number Card) [As a fraction]

184.

How many total people were surveyed?

a)

78

b)

22

c)

70

d)

100